Quantum networks modelled by graphs
From MaRDI portal
Publication:3654111
zbMath1180.81028arXiv0706.0481MaRDI QIDQ3654111
Publication date: 4 January 2010
Full work available at URL: https://arxiv.org/abs/0706.0481
Schrödinger operatorsNeumann boundary conditionsresonancesmetric graphsfat graphsconvergence of the spectra
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Resonance phenomena for ordinary differential equations involving randomness (34F15)
Related Items
Eigenvalue estimates for Schrödinger operators on metric trees ⋮ Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One ⋮ First-order operators and boundary triples ⋮ Anderson localization for radial tree-like random quantum graphs ⋮ Scale invariant effective Hamiltonians for a graph with a small compact core ⋮ Coupling conditions for water waves at forks